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Grace [21]
3 years ago
11

BRANLIESTS GOING OUT!

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

Width is 2,000 and length is 2,010

Step-by-step explanation:

I went for the width first. You multiply by 2 to get the width and add 10 for the length (I'm sorry if its wrong)

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Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
julsineya [31]

Answer: The answer is C, 4 to the 21st over 5 to the 6th power.

4 0
2 years ago
A family paid $142.80 which included $6.80 in taxes for 4 play tickets each ticket costs the same amount how much did each perso
borishaifa [10]
$142.80-$6.80=$136 divided by 4 equals $34
8 0
3 years ago
5,5,3 Is this a triangle? Explain.
Vlad1618 [11]

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

==========================================================

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

==========================================================

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
4 0
3 years ago
Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Ganezh [65]

Answer:

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6} (1)

By definition of the perfect square trinomial:

25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}

33 + 20\sqrt{2} = a + b\cdot \sqrt{6}

And by direct comparison we have the following system:

a = 33 (2)

b\cdot \sqrt{6} = 20\sqrt{2} (3)

By (3), we solve for b:

b = \frac{20}{\sqrt{3}}

b = \frac{20\sqrt{3}}{3}

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

6 0
3 years ago
How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *​
faust18 [17]

Answer:

3

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

7 0
2 years ago
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